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Finding the Fourth Proportional to 216,446.40, 324,714.24 and 76,302.72

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Solution

The fourth proportional to 216,446.40, 324,714.24 and 76,302.72 is: 114,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,446.40 : 324,714.24 = 76,302.72 : x
  2. Step 2: Convert to fraction form
    216,446.40/324,714.24 = 76,302.72/x
  3. Step 3: Cross multiply
    216,446.40x = 324,714.24 × 76,302.72
  4. Step 4: Simplify right side
    216,446.40x = 24,776,579,734.73
  5. Step 5: Solve for x
    x = 24,776,579,734.73/216,446.40
  6. Step 6: Final answer
    x = 114,469.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.